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Finding the Fourth Proportional to 304,965.66, 420,853.59 and 169,001.85

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Solution

The fourth proportional to 304,965.66, 420,853.59 and 169,001.85 is: 233,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,965.66 : 420,853.59 = 169,001.85 : x
  2. Step 2: Convert to fraction form
    304,965.66/420,853.59 = 169,001.85/x
  3. Step 3: Cross multiply
    304,965.66x = 420,853.59 × 169,001.85
  4. Step 4: Simplify right side
    304,965.66x = 71,125,035,289.14
  5. Step 5: Solve for x
    x = 71,125,035,289.14/304,965.66
  6. Step 6: Final answer
    x = 233,223.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.